The pinning-depinning dynamics of a circular moving contact line (CL) over the rough surface of a micron-sized vertical hanging AFM glass fiber are analyzed. The capillary force acting on the CL exhibits sawtooth-like fluctuations, with a linear accumulation of force of slope k (stick) followed by a sharp release of force δf, which is proportional to the CL slip length. We find that the local maximal force Fc needed for CL depinning follows the extreme value statistics and the measured δf follows the avalanche dynamics with a power law distribution in good agreement with the Alessandro-Beatrice-Bertotti-Montorsi model. The results provide an accurate statistical description of the CL dynamics at mesoscale, which has important implications to a common class of problems involving stick-slip motion in a random defect or roughness landscape.